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Airida [17]
4 years ago
15

If 180°<θ<270°, and sin⁡θ=−3/4, what is the value of sin(−θ)?

Mathematics
1 answer:
Oxana [17]4 years ago
5 0

Answer:

sin(-\theta)=\frac{3}{4}

Step-by-step explanation:

Given:

180°<θ<270° and sin(\theta)=-\frac{3}{4}

We know for any angle \theta,

sin(-\theta)=-sin(\theta)

∴sin(-\theta)=-(-\frac{3}{4})=\frac{3}{4}

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Here you go :) I sent the work in the picture below

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What is the answer of:<br><img src="https://tex.z-dn.net/?f=2%20%5Cdiv%203%20%20%2B%20%20%5Csqrt%7B5%7D%20" id="TexFormula1" tit
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\frac{2  \: +  \: 3 \sqrt{5} }{3}

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\frac{2}{3}  +  \sqrt{5}  =

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= \frac{2}{3}  +  \frac{3 \sqrt{5} }{3}

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